Rhodopantohedron (EntityTopic, 11)
From Hi.gher. Space
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The '''rhodopantohedron''', also known as the '''omnitruncated dodecahedron''', '''great rhombicosidodecahedron''', '''rhombitruncated icosidodecahedron''' and '''truncated icosidodecahedron''', is the [[omnitruncate]] of the [[dodecahedron]] and [[icosahedron]]. | The '''rhodopantohedron''', also known as the '''omnitruncated dodecahedron''', '''great rhombicosidodecahedron''', '''rhombitruncated icosidodecahedron''' and '''truncated icosidodecahedron''', is the [[omnitruncate]] of the [[dodecahedron]] and [[icosahedron]]. | ||
Revision as of 10:33, 2 March 2014
The rhodopantohedron, also known as the omnitruncated dodecahedron, great rhombicosidodecahedron, rhombitruncated icosidodecahedron and truncated icosidodecahedron, is the omnitruncate of the dodecahedron and icosahedron.
Incidence matrix
Dual: disdyakis triacontahedron
| # | TXID | Va | Ea | Eb | Ec | 10a | 4a | 6a | Type | Name |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Va | = point | ; | |||||||
| 1 | Ea | 2 | = digon | ; | ||||||
| 2 | Eb | 2 | = digon | ; | ||||||
| 3 | Ec | 2 | = digon | ; | ||||||
| 4 | 10a | 10 | 5 | 5 | 0 | = decagon | ; | |||
| 5 | 4a | 4 | 2 | 0 | 2 | = square | ; | |||
| 6 | 6a | 6 | 0 | 3 | 3 | = hexagon | ; | |||
| 7 | C1a | 120 | 60 | 60 | 60 | 12 | 30 | 20 | = rhodopantohedron | ; |
Usage as facets
- 2× 1-facets of a castellated rhodopantohedral prism
| Notable Trishapes | |
| Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
| Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
| Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
| Snubs: | snub staurohedron • snub rhodohedron |
| Curved: | sphere • torus • cylinder • cone • frustum • crind |
